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864462540 = 223543477129
BaseRepresentation
bin110011100001101…
…010011011001100
32020020122020200010
4303201222123030
53232300300130
6221440233220
730264544644
oct6341523314
92206566603
10864462540
11403a6a557
1220160b810
1310a1330c6
1482b49524
1550d5c0b0
hex3386a6cc

864462540 has 96 divisors (see below), whose sum is σ = 2529838080. Its totient is φ = 220340736.

The previous prime is 864462503. The next prime is 864462619. The reversal of 864462540 is 45264468.

864462540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117696 + ... + 124824.

It is an arithmetic number, because the mean of its divisors is an integer number (26352480).

Almost surely, 2864462540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864462540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264919040).

864462540 is an abundant number, since it is smaller than the sum of its proper divisors (1665375540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864462540 is a wasteful number, since it uses less digits than its factorization.

864462540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 864462540 is about 29401.7438258345. The cubic root of 864462540 is about 952.6105630091.

The spelling of 864462540 in words is "eight hundred sixty-four million, four hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 645 705 860 940 1290 1410 2021 2580 2820 4042 6063 7129 8084 10105 12126 14258 20210 21387 24252 28516 30315 35645 40420 42774 60630 71290 85548 106935 121260 142580 213870 306547 335063 427740 613094 670126 919641 1005189 1226188 1340252 1532735 1675315 1839282 2010378 3065470 3350630 3678564 4020756 4598205 5025945 6130940 6701260 9196410 10051890 14407709 18392820 20103780 28815418 43223127 57630836 72038545 86446254 144077090 172892508 216115635 288154180 432231270 864462540